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math.FA2012
On the vaguelet and Riesz properties of L^2-unbounded transformations of orthogonal wavelet bases
Gustavo Didier, Stéphane Jaffard, Vladas Pipiras
In this work, we prove that certain L^2-unbounded transformations of orthogonal wavelet bases generate vaguelets. The L^2-unbounded functions involved in the transformations are as…
math.NT2012
Multivariate Davenport series
Arnaud Durand, Stéphane Jaffard
We consider series of the form , where and is the sawtooth function. They are the natural multivariate extension of Davenport series. Th…